10. $$-3\frac{1}{7} \cdot (-8) - 2,9 : 0,1 + \frac{11}{21} : \left(-3\frac{2}{3}\right)$$

INSIGHT

Решение:

1. \(-3\frac{1}{7} = -\frac{22}{7}\)
2. \(-\frac{22}{7} \cdot (-8) = \frac{176}{7}\)
3. \(2,9 = \frac{29}{10}\)
4. \(-\frac{29}{10} : 0,1 = -\frac{29}{10} : \frac{1}{10} = -\frac{29}{10} \cdot 10 = -29\)
5. \(-3\frac{2}{3} = -\frac{11}{3}\)
6. \(\frac{11}{21} : \left(-\frac{11}{3}\right) = \frac{11}{21} \cdot \left(-\frac{3}{11}\right) = -\frac{3}{21} = -\frac{1}{7}\)
7. \(\frac{176}{7} - (-29) + \left(-\frac{1}{7}\right) = \frac{176}{7} + 29 - \frac{1}{7}\)
8. \(\frac{176 - 1}{7} + 29 = \frac{175}{7} + 29 = 25 + 29 = 54\)

Ответ: 54